What is the Least Common Multiple of 25340 and 25350?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 25340 and 25350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25340 and 25350, than apply into the LCM equation.

GCF(25340,25350) = 10
LCM(25340,25350) = ( 25340 × 25350) / 10
LCM(25340,25350) = 642369000 / 10
LCM(25340,25350) = 64236900

Least Common Multiple (LCM) of 25340 and 25350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25340 and 25350. First we will calculate the prime factors of 25340 and 25350.

Prime Factorization of 25340

Prime Factorization of 25350

Now multiplying the highest exponent prime factors to calculate the LCM of 25340 and 25350.

LCM(25340,25350) = 2² × 5² × 7¹ × 181¹ × 3¹ × 13²
LCM(25340,25350) = 64236900